Ln(2)+ln(x-8)=ln(x)

Solution for Ln(2)+ln(x-8)=ln(x) equation:

Simplifying
Ln(2) + ln(x + -8) = ln(x)

Reorder the terms for easier multiplication:
2nL + ln(x + -8) = ln(x)

Reorder the terms:
2nL + ln(-8 + x) = ln(x)
2nL + (-8 * ln + x * ln) = ln(x)
2nL + (-8ln + lnx) = ln(x)

Reorder the terms:
-8ln + lnx + 2nL = ln(x)

Multiply ln * x
-8ln + lnx + 2nL = lnx

Add '-1lnx' to each side of the equation.
-8ln + lnx + -1lnx + 2nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln + 0 + 2nL = lnx + -1lnx
-8ln + 2nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln + 2nL = 0

Solving
-8ln + 2nL = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-2nL' to each side of the equation.
-8ln + 2nL + -2nL = 0 + -2nL

Combine like terms: 2nL + -2nL = 0
-8ln + 0 = 0 + -2nL
-8ln = 0 + -2nL
Remove the zero:
-8ln = -2nL

Divide each side by '-8n'.
l = 0.25L

Simplifying
l = 0.25L